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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 799 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of all the whole numbers from 12 to 42? (a) 27 (b) 15 (c) 30 (d) 28
  2. 2.What is the average of 44, 37, 43, 61 and 55? (a) 48 (b) 60 (c) 49 (d) 47
  3. 3.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 64 (c) 80 (d) 128
  4. 4.What is the average of 42, 33, 30, 36, 38 and 13? (a) 33 (b) 32 (c) 31 (d) 34
  5. 5.What is the average of 53, 37, 51 and 19? (a) 40 (b) 39 (c) 41 (d) 42
  6. 6.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 94 (c) 56 (d) 54
  7. 7.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 21 (c) 61 (d) 46
  8. 8.What is the average of 46, 74, 54, 49, 59 and 72? (a) 59 (b) 60 (c) 58 (d) 61
  9. 9.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 16 (b) 64 (c) 72 (d) 60
  10. 10.What is the average of 86, 87, 72, 72 and 83? (a) 81 (b) 100 (c) 80 (d) 79
  11. 11.What is the average of 39, 33, 20 and 24? (a) 31 (b) 29 (c) 30 (d) 28
  12. 12.What is the average of all the whole numbers from 7 to 35? (a) 28 (b) 22 (c) 21 (d) 14
  13. 13.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 26 (b) 8 (c) 37 (d) 19
  14. 14.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 41 (c) 30 (d) 68
  15. 15.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 23 (b) 22 (c) 99 (d) 47
  16. 16.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 89 (b) 61 (c) 57 (d) 36
  17. 17.What is the average of all the whole numbers from 46 to 52? (a) 3 (b) 49 (c) 50 (d) 6
  18. 18.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 63 (c) 127 (d) 80
  19. 19.What is the average of all the whole numbers from 9 to 21? (a) 12 (b) 16 (c) 15 (d) 6
  20. 20.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 47 (b) 6 (c) 42 (d) 83
  21. 21.What is the average of 46, 48, 56 and 30? (a) 45 (b) 46 (c) 60 (d) 44
  22. 22.What is the average of all the whole numbers from 32 to 44? (a) 38 (b) 6 (c) 12 (d) 39
  23. 23.What is the average of 69, 49, 74 and 60? (a) 63 (b) 64 (c) 62 (d) 84
  24. 24.What is the average of 44, 55, 47 and 54? (a) 49 (b) 50 (c) 52 (d) 51
  25. 25.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 52 (c) 32 (d) 68
  26. 26.What is the average of all the whole numbers from 54 to 82? (a) 28 (b) 14 (c) 69 (d) 68
  27. 27.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 24 (b) 87 (c) 66 (d) 45
  28. 28.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 73 (b) 36 (c) 32 (d) 31
  29. 29.What is the average of all the whole numbers from 25 to 63? (a) 38 (b) 45 (c) 19 (d) 44
  30. 30.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 41 (b) 85 (c) 26 (d) 27
  31. 31.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 30 (b) 27 (c) 61 (d) 26
  32. 32.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 18 (c) 68 (d) 54
  33. 33.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 101 (b) 48 (c) 13 (d) 14
  34. 34.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 38 (b) 36 (c) 35 (d) 77
  35. 35.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 34 (b) 40 (c) 29 (d) 64
  36. 36.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 50 (b) 41 (c) 42 (d) 103
  37. 37.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 36 (b) 32 (c) 28 (d) 52
  38. 38.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 18 (b) 23 (c) 47 (d) 19
  39. 39.What is the average of 64, 81, 65 and 74? (a) 72 (b) 70 (c) 71 (d) 73
  40. 40.What is the average of all the whole numbers from 57 to 83? (a) 71 (b) 70 (c) 26 (d) 13

Answer key

  1. 27
  2. 48
  3. 128
  4. 32
  5. 40
  6. 94
  7. 61
  8. 59
  9. 72
  10. 80
  11. 29
  12. 21
  13. 26
  14. 68
  15. 22
  16. 89
  17. 49
  18. 127
  19. 15
  20. 47
  21. 45
  22. 38
  23. 63
  24. 50
  25. 68
  26. 68
  27. 66
  28. 31
  29. 44
  30. 26
  31. 26
  32. 68
  33. 13
  34. 35
  35. 64
  36. 41
  37. 52
  38. 18
  39. 71
  40. 70

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